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Finding the Fourth Proportional to 541.67, 811.85 and 310.11

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Solution

The fourth proportional to 541.67, 811.85 and 310.11 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.67 : 811.85 = 310.11 : x
  2. Step 2: Convert to fraction form
    541.67/811.85 = 310.11/x
  3. Step 3: Cross multiply
    541.67x = 811.85 × 310.11
  4. Step 4: Simplify right side
    541.67x = 251,761.25
  5. Step 5: Solve for x
    x = 251,761.25/541.67
  6. Step 6: Final answer
    x = 464.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.